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1314534400 = 2105251349
BaseRepresentation
bin100111001011010…
…0011010000000000
310101121112021012021
41032112203100000
510143010100100
6334235011224
744401233544
oct11626432000
93347467167
101314534400
11615025173
12308299b14
1317c45670a
14c6825a24
157a611a1a
hex4e5a3400

1314534400 has 66 divisors (see below), whose sum is σ = 3258516950. Its totient is φ = 525803520.

The previous prime is 1314534391. The next prime is 1314534421. The reversal of 1314534400 is 44354131.

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 1314497536 = 192^2 + 36256^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75 + ... + 51274.

Almost surely, 21314534400 is an apocalyptic number.

1314534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629258475).

1314534400 is an abundant number, since it is smaller than the sum of its proper divisors (1943982550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1314534400 is an equidigital number, since it uses as much as digits as its factorization.

1314534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51379 (or 51356 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1314534400 is about 36256.5083812548. The cubic root of 1314534400 is about 1095.4451877847.

Adding to 1314534400 its reverse (44354131), we get a palindrome (1358888531).

The spelling of 1314534400 in words is "one billion, three hundred fourteen million, five hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 25600 51349 102698 205396 256745 410792 513490 821584 1026980 1283725 1643168 2053960 2567450 3286336 4107920 5134900 6572672 8215840 10269800 13145344 16431680 20539600 26290688 32863360 41079200 52581376 65726720 82158400 131453440 164316800 262906880 328633600 657267200 1314534400